SOLUTION: Walking up a 4 - mile trail, a hiker travels 1 mph slower than walking down the same trail. If a total of 5 hours is spent walking up and down the trail. What is the hiking speed

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Question 629122: Walking up a 4 - mile trail, a hiker travels 1 mph slower than walking down the same trail. If a total of 5 hours is spent walking up and down the trail. What is the hiking speed in each direction?



please solve this... urgently

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Walking up a 4-mile trail, a hiker travels 1 mph slower than walking down the same trail at speed highlight%28x%29
Note: D = rt OR t = D/r
Question states*** total of 5 hours is spent walking up and down the trail
+4%2F%28x-1%29+%2B+4%2Fx+=+5hr |Multiplying thru by x(x-1) so as all denominators = 1
4x + 4(x-1) = 5x(x-1)
4x + 4x - 4 = 5x^2 - 5x
5x^2 - 13x + 4 = 0
x+=+%2813+%2B-+sqrt%2889+%29%29%2F%2810%29+